Question: How do we graph dilations?

Answer: So do you remember what a dilation is? If not then let me explain :)

A dilation is a type of transformation that causes an image to stretch or shrink in proportion to its original size. 

Okay now that we reviewed what a dilation is, lets go more in depth about dilations. :D

Whenever you do a dilation there will always be a scale factor.

So what's a scale factor? 

Well, a scale factor is the ratio by which the image stretches or shrinks. 

So how do we know if the figure will shrink or enlarge? o.O

Easy, if the scale factor is greater than one, then the image is enlarged.

          If written out, the scale factor would look like this --> D2

And if the scale factor is greater than zero but less than one, then the image will shrink. 

          If written out, the scale factor would look like this --> D1/4

Ok so now that we know how a dilation looks like, and what a scale factor is. So how do we solve a dilation problem? 

Well, all you have to do is multiply the dimensions of the original image by the scale factor to get the dimensions of the dilated image. 

For example: If we have a Triangle A(1,2) B(2,3) C(3,2) and a scale factor of D2 all we have to do to solve this problem is multiply the coordinate point of the triangle by the scale factor. This means:

2x(1,2)=(2,4)        so the image point A would be (2,4)

2x(2,3)=(4,6)        the image point B would be (4,6)

2x(3,2)=(6,4)        and the image point C would be (6,4)

NOW YOU TRY! :D

Given point A(6,5) and scale factor D3 what would be the image point?